To calculate the probability of selecting a purple glass bottle and the coin landing heads up, we need to first find the total number of purple glass bottles. From the table, we see that there are 4 purple glass bottles.
Next, we determine the total number of glass bottles. Adding up all the numbers in the table, we find that there are a total of 20 glass bottles.
The probability of selecting a purple glass bottle is therefore 4/20 = 1/5.
Since the coin is fair, the probability of it landing heads up is 1/2.
To find the probability of both events happening, we multiply the probabilities:
(1/5) * (1/2) = 1/10
Therefore, the probability that Danny will select a purple glass bottle and the coin will land heads up is 1/10. The answer is 1 over 10.
The table shows the number of glass bottles of different colors in a shelf. A fair coin is shown below the table.
Color of
Glass Bottle Number
Red
9
Blue
1
Green
6
Purple
4
A coin
Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin. What is the probability that he will select a purple glass bottle and that the coin will land heads up? (5 points)
1 over 10
1 over 8
1 over 6
1 over 5
1 answer